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球与弹性板的接触
引用本文:蔡敏,蔡键.球与弹性板的接触[J].合肥工业大学学报(自然科学版),1996(4).
作者姓名:蔡敏  蔡键
作者单位:合肥工业大学,安徽省交通科研所,合肥工业大学土木工程系
摘    要:对刚性和弹性球体与有限厚度弹性板在直压力作用下的接触问题进行分析。此弹性板可以是置放在刚性或半无限弹性基础之上,也可是周边支承着的。文中利用Hankel变换进行分析,并提出将接触面上的接触条件给予放松以便于在计算机上求解。经过有关分析及实验检验,所得结果准确

关 键 词:有限厚度板与球的接触问题  Hertz定律的推广  复合材料板的接触理论

THE CONTACT PROBLEMS OF PLATE PRESSED BY SPHERE
Cai Min,Cai Jian.THE CONTACT PROBLEMS OF PLATE PRESSED BY SPHERE[J].Journal of Hefei University of Technology(Natural Science),1996(4).
Authors:Cai Min  Cai Jian
Institution:Cai Min Cai Jian (Hefei University of Technology) (Anhui Institute of Communication)
Abstract:The elastic contact of plate with sphere is considered in this paper.The cases where plate resting on a forundation of rigid or half limitless elastic or of supporting around its peripheral edge are considered. Again, the isotropic and cylindrically orthotropic plate materials are discussed. These are problems not revealed in Hertz Contact Theory.Detailed analysis of this paper are performed according to the axisymmetric elastic problem with Hankel transformations in mathematics.The predictions of this paper are in good agreement with the relevant experiment results.
Keywords:the extension of Hertz Theory  Hankel transformations  contact theory of composite plates
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